A child applies a force parallel to the x-axis to a 10.0-kg sled moving on the f

Question

A child applies a force parallel to the x-axis to a 10.0-kg sled moving on the frozen surface of a small pond. As the child controls the speed of the sled, the x-component of the force she applies varies with the x-coordinate of the sled as shown in figure . Suppose the sled is initially at rest at x=0. You can ignore friction between the sled and the surface of the pond.

Image http://session.masteringphysics.com/problemAsset/1260132/1/YF-06-31.jpg

(b)Use the work-energy theorem to find the speed of the sled at 10.0m

Please I need the correct answer!!!!!

Explanation / Answer

After 10 m of force application, sled's KE = (Fx)(dx) = 100/2 = 50 N-m {50 N-m = AREA under graph from x = 0 to x = 10.0} so 1/2mV² = 50 4V² = 50 V² = 10 V = 3.535 m/s

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